What is -5x+2<17 ?

Well, think about it thins way. if 17 is greater than 5x + 2, then X has to equal 2. because 5x means that whatever x is, has to be multiplied by 5 so the answer is.. X = 2

Hannah2:

What is -5x+2<17 ?

I'm glad that you had a go Brooke , but you made a couple of mistakes

-5x + 2 <17

You treat inequalities just the same as equations,
except
1) If you swap sides you have to turn the sign around
eg if x>6 then 6<x

2) If you multiply or divide by a negative number you have to turn the sign around.
eg if -2x<10 then x>-5
or if x/(-2) > 6 then x<-12

3) if you turn both sides upside down.
eg, 3/x > 5/4 then x/3 < 4/5

And I think that covers it.

-5x + 2 < 17
now I'll take 2 off both sides - the sign stays the same.
-5x + 2 -2 < 17 - 2
-5x < 15
now I have to divide both sides by -5 and when you divide by a negative number the sign gets swapped
x > -3